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Disc Covering Problem with Application to Digital Halftoning

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Computational Science and Its Applications – ICCSA 2004 (ICCSA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3045))

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Abstract

One of the popular geometric optimization problems is that of finding the maximum radius r n of n equal and non-overlapping discs to be packed in a unit square. It has been widely explored with a number of surprising results (see e.g. [2]).

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References

  1. Asano, T., Matsui, T., Tokuyama, T.: Optimal Roundings of Sequences and Matrices. Nordic Journal of Computing 7(3), 241–256 (2000)

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  2. Nurmela, K.J., Oestergard, P.R.J.: Packing up to 50 Equal Circles in a Square. Discrete Comput. Geom. 18, 111–120 (1997)

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  3. Ostromoukhov, V.: Pseudo-Random Halftone Screening for Color and Black&White Printing. In: Proceedings of the 9th Congress on Advances in Non-Impact Printing Technologies, Yokohama, pp. 579–581 (1993)

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  4. Ostromoukhov, V., Hersch, R.D.: Stochastic Clustered-Dot Dithering. Journal of Electronic Imaging 8(4), 439–445 (1999)

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  5. Sasahara, S., Asano, T.: Adaptive Cluster Arrangement for Cluster-dot Halftoning Using Bubble Packing Method. In: Proceeding of 7th Japan Korea Joint Workshop on Algorithms and Computation, Sendai, July 2003, pp. 87–93 (2003)

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Author information

Authors and Affiliations

  1. School of Information Science, JAIST, 1-1 Asahidai, Tatsunokuchi, Ishikawa, 923-1292, Japan

    Tetsuo Asano & Shinji Sasahara

  2. Department of Computer Science, City College, CUNY, Convent Avenue at 138th Street, New York, NY, 10031, USA

    Peter Brass

  3. Fuji Xerox Co., Ltd, 430 Sakai, Nakai, Ashigarakami, Kanagawa, 259-0157, Japan

    Shinji Sasahara

Authors
  1. Tetsuo Asano
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  2. Peter Brass
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  3. Shinji Sasahara
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Editor information

Editors and Affiliations

  1. Department of Chemistry, University of Perugia, Via Elce di Sotto, 8, I-06123, Perugia, Italy

    Antonio Laganá

  2. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina L. Gavrilova

  3. William Norris Professor, Head of the Computer Science and Engineering Department, University of Minnesota, USA

    Vipin Kumar

  4. School of Computing, Soongsil University, Seoul, Korea

    Youngsong Mun

  5. OptimaNumerics Ltd., Cathedral House, 23-31 Waring Street, BT1 2DX, Belfast, UK

    C. J. Kenneth Tan

  6. Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli, 1, I-06123, Perugia, Italy

    Osvaldo Gervasi

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© 2004 Springer-Verlag Berlin Heidelberg

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Asano, T., Brass, P., Sasahara, S. (2004). Disc Covering Problem with Application to Digital Halftoning. In: Laganá, A., Gavrilova, M.L., Kumar, V., Mun, Y., Tan, C.J.K., Gervasi, O. (eds) Computational Science and Its Applications – ICCSA 2004. ICCSA 2004. Lecture Notes in Computer Science, vol 3045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24767-8_2

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  • DOI: https://doi.org/10.1007/978-3-540-24767-8_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22057-2

  • Online ISBN: 978-3-540-24767-8

  • eBook Packages: Springer Book Archive

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